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Finding the Fourth Proportional to 25,496.80, 38,239.40 and 9,696.20

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Solution

The fourth proportional to 25,496.80, 38,239.40 and 9,696.20 is: 14,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.80 : 38,239.40 = 9,696.20 : x
  2. Step 2: Convert to fraction form
    25,496.80/38,239.40 = 9,696.20/x
  3. Step 3: Cross multiply
    25,496.80x = 38,239.40 × 9,696.20
  4. Step 4: Simplify right side
    25,496.80x = 370,776,703.32
  5. Step 5: Solve for x
    x = 370,776,703.32/25,496.80
  6. Step 6: Final answer
    x = 14,542.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.